# Rate of growth of heated zone in hot water heated reservoir

## Input(s)

h: Height of Reservoir (ft)

$\phi$: Porosity (fraction)

q: Flow Rate of Ambient Reservoir Temperature and Pressure (bbl/d)

$T_{j}$: Temperature of Specific Layer (K)

$f_{w}$: Fractional flow of water in hot floods dependent on Temperature and Saturation (dimensionless)

## Output(s)

A: Rate of Area Growth with time $(\mathrm{ft} \mathrm{ft} / \mathrm{d})$

## Formula(s)

$A=1.289 *\left(10^{-4}\right) *\left(\frac{q * T_{j} * f_{w}}{\phi * h}\right)$## Reference(s)

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, New York, Page: 45.